(2x+144)(x-133)=0

Solution for (2x+144)(x-133)=0 equation:

Simplifying
(2x + 144)(x + -133) = 0

Reorder the terms:
(144 + 2x)(x + -133) = 0

Reorder the terms:
(144 + 2x)(-133 + x) = 0

Multiply (144 + 2x) * (-133 + x)
(144(-133 + x) + 2x * (-133 + x)) = 0
((-133 * 144 + x * 144) + 2x * (-133 + x)) = 0
((-19152 + 144x) + 2x * (-133 + x)) = 0
(-19152 + 144x + (-133 * 2x + x * 2x)) = 0
(-19152 + 144x + (-266x + 2x2)) = 0

Combine like terms: 144x + -266x = -122x
(-19152 + -122x + 2x2) = 0

Solving
-19152 + -122x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9576 + -61x + x2) = 0

Factor a trinomial.
2((-72 + -1x)(133 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-72 + -1x)' equal to zero and attempt to solve:

Simplifying
-72 + -1x = 0

Solving
-72 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '72' to each side of the equation.
-72 + 72 + -1x = 0 + 72

Combine like terms: -72 + 72 = 0
0 + -1x = 0 + 72
-1x = 0 + 72

Combine like terms: 0 + 72 = 72
-1x = 72

Divide each side by '-1'.
x = -72

Simplifying
x = -72
Subproblem 2
Set the factor '(133 + -1x)' equal to zero and attempt to solve:

Simplifying
133 + -1x = 0

Solving
133 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-133' to each side of the equation.
133 + -133 + -1x = 0 + -133

Combine like terms: 133 + -133 = 0
0 + -1x = 0 + -133
-1x = 0 + -133

Combine like terms: 0 + -133 = -133
-1x = -133

Divide each side by '-1'.
x = 133

Simplifying
x = 133
Solution
x = {-72, 133}